An Energy-Conserving One-Way Coupled Mode Propagation Model

Abstract

The equations of motion for pressure and displacement fields in a waveguide have been used to derive an energy-conserving, one-way coupled mode propagation model. This model has three important properties: First, since it is based on the equations of motion, rather than the wave equation, instead of two coupling matrices, it only contains one coupling matrix. Second, the resulting coupling matrix is anti-symmetric, which implies that the energy among modes is conserved. Third, the coupling matrix can be computed using the local modes and their depth derivatives. The model has been applied to two range-dependent cases: Propagation in a wedge, where range dependence is due to variations in water depth and propagation through internal waves, where range dependence is due to variations in water sound speed. In both cases the solutions are compared with those obtained from the parabolic equation (PE) method.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2002
Accession Number
ADA506808

Entities

People

  • Ahmad T. Abawi

Organizations

  • Naval Information Warfare Systems Command

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Fields
  • Acoustic Propagation
  • Boundaries
  • Computational Science
  • Couplings
  • Differential Equations
  • Displacement
  • Equations
  • Equations Of Motion
  • Frequency
  • Internal Waves
  • Physics Laboratories
  • Shallow Water
  • Transmission Loss
  • Wave Equations
  • Waveguides
  • Waves

Readers

  • Acoustical Oceanography.
  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)